2 results
AN EXPOSITION OF THE COMPACTNESS OF
$L({Q^{\mathrm{cf}}})$
- Part of
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- Journal:
- Bulletin of Symbolic Logic / Volume 26 / Issue 3-4 / December 2020
- Published online by Cambridge University Press:
- 11 June 2020, pp. 212-218
- Print publication:
- December 2020
-
- Article
- Export citation
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We give an exposition of the compactness of
$L({Q^{\mathrm{\,cf}}\!\!\!\!\!\!}_{C})$
, for any set C of regular cardinals.
A COMPACTNESS THEOREM FOR SURFACES WITH BOUNDED INTEGRAL CURVATURE
- Part of
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- Journal:
- Journal of the Institute of Mathematics of Jussieu / Volume 19 / Issue 2 / March 2020
- Published online by Cambridge University Press:
- 10 April 2018, pp. 597-645
- Print publication:
- March 2020
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- Article
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We prove a compactness theorem for metrics with bounded integral curvature on a fixed closed surface
$\unicode[STIX]{x1D6F4}$. As a corollary we obtain a new convergence result for sequences of metrics with conical singularities, where an accumulation of singularities is allowed.
